6533b837fe1ef96bd12a1e92

RESEARCH PRODUCT

Better approximation of functions by genuine Bernstein-Durrmeyer type operators

Ana Maria AcuP. N. Agrawal

subject

41A25 41A36FOS: MathematicsNumerical Analysis (math.NA)Mathematics - Numerical Analysis

description

The main object of this paper is to construct a new genuine Bernstein-Durrmeyer type operators which have better features than the classical one. Some direct estimates for the modified genuine Bernstein-Durrmeyer operator by means of the first and second modulus of continuity are given. An asymptotic formula for the new operator is proved. Finally, some numerical examples with illustrative graphics have been added to validate the theoretical results and also compare the rate of convergence.

yearjournalcountryeditionlanguage
2018-10-16
http://arxiv.org/abs/1810.06822